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Help me write and solve an equation for area

Help me write and solve an equation for area-example-1
User Ezolotko
by
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1 Answer

2 votes

Answer:

Equation:

3(x + 4) = 4x

Solution:

x = 12

Explanation:

These two shapes are rectangles. The area of a rectangle is:

Area = length×width

Area of the first rectangle is:

Area = 3(x+4)

The area of the second rectangle is:

Area = 4x

They asked us to make these two areas equal to each other.

3(x + 4) = 4x

To solve, use distributive property.

3x + 12 = 4x

subtract 3x from both sides.

12 = x

If x is 12 the first rectangle is a 3 × 16 rectangle. The area is 48.

And, the second rectangle is a 4×12 rectangle. So that area is also 48.

When x = 12, the areas are the same.

User Joseline
by
8.3k points

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